%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:37:17 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:30:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.07/0.25
% 0.07/0.25 % SZS status Unsatisfiable
% 0.07/0.25
% 0.07/0.25 % SZS output start Proof
% 0.07/0.25 Axiom 1 (mocking_bird_exists): response(mocking_bird, X) = response(X, X).
% 0.07/0.25 Axiom 2 (composer_exists): response(compose(X, Y), Z) = response(X, response(Y, Z)).
% 0.07/0.25
% 0.07/0.25 Goal 1 (prove_birds_are_compatible): tuple(response(b, X), response(a, Y)) = tuple(Y, X).
% 0.07/0.25 The goal is true when:
% 0.07/0.25 X = response(compose(a, mocking_bird), compose(b, compose(a, mocking_bird)))
% 0.07/0.25 Y = response(mocking_bird, compose(b, compose(a, mocking_bird)))
% 0.07/0.25
% 0.07/0.25 Proof:
% 0.07/0.25 tuple(response(b, response(compose(a, mocking_bird), compose(b, compose(a, mocking_bird)))), response(a, response(mocking_bird, compose(b, compose(a, mocking_bird)))))
% 0.07/0.26 = { by axiom 2 (composer_exists) R->L }
% 0.07/0.26 tuple(response(compose(b, compose(a, mocking_bird)), compose(b, compose(a, mocking_bird))), response(a, response(mocking_bird, compose(b, compose(a, mocking_bird)))))
% 0.07/0.26 = { by axiom 1 (mocking_bird_exists) R->L }
% 0.07/0.26 tuple(response(mocking_bird, compose(b, compose(a, mocking_bird))), response(a, response(mocking_bird, compose(b, compose(a, mocking_bird)))))
% 0.07/0.26 = { by axiom 2 (composer_exists) R->L }
% 0.07/0.26 tuple(response(mocking_bird, compose(b, compose(a, mocking_bird))), response(compose(a, mocking_bird), compose(b, compose(a, mocking_bird))))
% 0.07/0.26 % SZS output end Proof
% 0.07/0.26
% 0.07/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
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